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Finding the Fourth Proportional to 11,436.45, 15,783.02 and 6,656.50

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Solution

The fourth proportional to 11,436.45, 15,783.02 and 6,656.50 is: 9,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.45 : 15,783.02 = 6,656.50 : x
  2. Step 2: Convert to fraction form
    11,436.45/15,783.02 = 6,656.50/x
  3. Step 3: Cross multiply
    11,436.45x = 15,783.02 × 6,656.50
  4. Step 4: Simplify right side
    11,436.45x = 105,059,672.63
  5. Step 5: Solve for x
    x = 105,059,672.63/11,436.45
  6. Step 6: Final answer
    x = 9,186.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.